Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#17988317 |
| Sylow | C73 ⋊ C2×Q8⋊C8 |
280 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1496 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32976580, C4×#17988317, #32976590, … |
| maximal normal subgroup of | #32976580, C4×#17988317, #32976590, … |
| maximal quotient of | C2×#22607753, C2×#22607756, #32973932, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2886);